How to get the perimeter of a parallelogram?
Understand the Problem
The question is asking for the method to calculate the perimeter of a parallelogram, which requires knowledge of its geometric properties. The perimeter can be found by summing the lengths of all sides, or specifically, by the formula: Perimeter = 2 * (base + height).
Answer
2(a + b)
Answer for screen readers
The final answer is 2(a + b)
Steps to Solve
- Identify the side lengths of the parallelogram
A parallelogram has two pairs of parallel sides. Let the lengths of the pairs be ( a ) and ( b ).
- Use the perimeter formula
The perimeter ( P ) of a parallelogram is calculated using the formula:
$$ P = 2(a + b) $$
- Substitute the side lengths into the formula
If you know the values of ( a ) and ( b ), substitute them into the formula to find the perimeter:
$$ P = 2(a + b) $$
For example, if ( a = 5 ) units and ( b = 10 ) units, then:
$$ P = 2(5 + 10) = 2 \times 15 = 30 $$ units
The final answer is 2(a + b)
More Information
The perimeter formula reflects the fact that opposite sides of a parallelogram are equal in length.
Tips
A common mistake is confusing the formula for the perimeter of a parallelogram with the formula for its area. Remember, the area is (base \times height), and the perimeter is the sum of the lengths of the sides.
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